Finding the Third Proportional to 429,241.50 and 582,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   429,241.50 : 582,967.50 = 582,967.50 : x
2. Step 2: Convert to fraction form
   429,241.50/582,967.50 = 582,967.50/x
3. Step 3: Cross multiply
   429,241.50x = 582,967.50 × 582,967.50
4. Step 4: Simplify right side
   429,241.50x = 339,851,106,056.25
5. Step 5: Solve for x
   x = 339,851,106,056.25/429,241.50
6. Step 6: Final answer
   x = 791,748.02